Slope Assignment (Rise over Run)

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope of a line?

Back

To calculate the slope, use the formula: Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change (rise) regardless of the horizontal change (run).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the horizontal change (run) is 0, leading to division by zero.

Front

If a line goes up 3 units and right 4 units, what is the slope?

Back

The slope is 3/4, calculated as rise/run = 3/4.

Front

If a line goes down 2 units and right 5 units, what is the slope?

Back

The slope is -2/5, calculated as rise/run = -2/5.

Front

What is the slope of the line represented by the points (1, 2) and (4, 5)?

Back

The slope is (5 - 2) / (4 - 1) = 3/3 = 1.

Front

What is the slope of the line represented by the points (2, 3) and (2, 7)?

Back

The slope is undefined because the x-values are the same, indicating a vertical line.